Abstract
We study a new kind of Courant algebroid on Poisson manifolds, which is a variant of the generalized tangent bundle in the sense that the roles of tangent and the cotangent bundle are exchanged. Its symmetry is a semidirect product of β-diffeomorphisms and β-transformations. It is a starting point of an alternative version of the generalized geometry based on the cotangent bundle, such as Dirac structures and generalized Riemannian structures. In particular, R-fluxes are formulated as a twisting of this Courant algebroid by a local β-transformations, in the same way as H-fluxes are the twist of the generalized tangent bundle. It is a three-vector classified by Poisson three-cohomology and it appears in a twisted bracket and in an exact sequence.
Original language | English |
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Article number | 1550097 |
Journal | International Journal of Modern Physics A |
Volume | 30 |
Issue number | 17 |
DOIs | |
Publication status | Published - 2015 Jun 20 |
Keywords
- Poisson structure
- String theory
- generalized geometry
- nongeometric flux
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics